Mensuration (C10)

A solid is in the form of a cylinder with hemispherical ends. The total height of the solid is 20 cm and the diameter of the cylinder is 7 cm. Find the total volume of the solid. (Use π = 22/7)

Answer

Height of cylinder = 20 – 7 = 13 cm

Total volume = π (7/2)2 (13) + 4/3 π (7/2)3

22/7 × 49/4 × (13 + 14/3)

= 680.17 cm3